Question

How would I show my work to make this true?
x = -5 , x = 2
x^2 +3x -10 =0

Answer 1

its asking if x=-5 and x=2 are solutions to the equation x^2+3x-10=0

to prove this is true, factor the given equation (by whatever method you want) and you will arrive at the factored equation (x+5)*(x-2)=0, which shoes solutions of x=-5, 2, proving given data

Answer 2

shows*

Answer 3

So is this enough steps shown, or am I missing steps to prove the answer?
(x+5)*(x-2)=0
x^2 +3x -10 =0

Answer 4

my bad..

Answer 5

for what?

Answer 6

that would be plenty for any teacher i have ever had

Answer 7

Oh, I just thought they were expressions not equations... I to concentrate a little more..

Answer 8

Sweet. I just wanted to make sure I had it right.

Answer 9

if you really want to show more work, you can use the quadratic equation to validate your a and b values in the factored expression, but idk if your prof would really require that

Answer 10

Idk either. My teacher is strict and constantly picks at me lol

Answer 11

if thats the case, i would recommend the quadratic equation, its easy and keeps profs off your back when they want to be mean

Answer 12

How do I do that?

Answer 13

That's what it's suppose to be is a quadratic equation. I wasn't thinking

Answer 14

for an equation of the form Ax^2+Bx+C=0, the quadratic equation is \[(-B \pm \sqrt{B^2-4*A*C})/(2*A)\]

Answer 15

so B=3, A=1, C=-10, solving it should get you 2 and -5 really easily

Answer 16

It looks like a foreign language lol
Unfortunately, I have to try and re-learn all this every single day.

Answer 17

ill walk you through it if you want

Answer 18

That would be awesome!

Answer 19

A=1, B=3, C=-10

so (−B±√B2−4∗A∗C)/(2∗A) becomes

(-3±√ (3^2-4*1*-10))/(2*1)

(-3±√(9+40))/2

(-3±√49)/2

(-3±7)/2

this gets you two answers out of the + and the -, for the -, it becomes

(-3-7)/2

-10/2

-5

for the + you get

(-3+7)/2

4/2

2

so your answers are -5 and 2

Answer 20

well, x=-5 and x=2 if you want to be explicit

Answer 21

Wow! Thank you so much! I wish I could give you another medal :)

Answer 22

thanks, i really enjoy helping out ^^

Answer 23

:)